- #1
pseudonewtonian
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Integral ... the best
hey this is a cool sum...
integral 0 to infinity of e^(-x^2)
hey this is a cool sum...
integral 0 to infinity of e^(-x^2)
Is the Integral of e^(-x^2) the Coolest Sum Ever?
- Thread starter pseudonewtonian
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In summary, Integral the best is a mathematical concept used to represent the area under a curve, calculated by finding the antiderivative of a given function and evaluating it at the upper and lower bounds of the integral. It has many real-world applications, including calculating areas, volumes, and solving optimization problems. It is the same as the area under a curve and can be negative if the function being integrated has negative values.
- #2
arildno
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Yeah, it IS cool 
.
.- #3
wais
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dx
I'm not sure if I would call it the "coolest sum ever," but it is definitely a very interesting and important integral. This is known as the Gaussian integral and it has many applications in mathematics and physics. It is also a key component in the definition of the error function, which is used in statistics and probability theory. So while it may not be the coolest sum ever, it is definitely a very useful and significant one.
I'm not sure if I would call it the "coolest sum ever," but it is definitely a very interesting and important integral. This is known as the Gaussian integral and it has many applications in mathematics and physics. It is also a key component in the definition of the error function, which is used in statistics and probability theory. So while it may not be the coolest sum ever, it is definitely a very useful and significant one.
1. What is Integral the best?
Integral the best is a mathematical concept used to represent the area under a curve. It is often used in calculus and other branches of mathematics to solve problems involving continuous functions.
2. How is Integral the best calculated?
Integral the best is calculated by finding the antiderivative of a given function and evaluating it at the upper and lower bounds of the integral. This can be done using various methods such as integration by parts, substitution, or using tables of integrals.
3. What are the applications of Integral the best?
Integral the best has many real-world applications, including calculating areas, volumes, and solving optimization problems. It is also used in physics, engineering, and economics to model and solve problems involving continuous quantities.
4. Is Integral the best the same as the area under a curve?
Yes, Integral the best is the same as the area under a curve. It is a numerical representation of the area between a curve and the x-axis, bounded by two given points.
5. Can Integral the best be negative?
Yes, Integral the best can be negative if the function being integrated has negative values in the given interval. This represents the area below the x-axis and is often referred to as a negative area.
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